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Finding the Fourth Proportional to 9,014.60, 13,521.74 and 7,537.16

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Solution

The fourth proportional to 9,014.60, 13,521.74 and 7,537.16 is: 11,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.60 : 13,521.74 = 7,537.16 : x
  2. Step 2: Convert to fraction form
    9,014.60/13,521.74 = 7,537.16/x
  3. Step 3: Cross multiply
    9,014.60x = 13,521.74 × 7,537.16
  4. Step 4: Simplify right side
    9,014.60x = 101,915,517.86
  5. Step 5: Solve for x
    x = 101,915,517.86/9,014.60
  6. Step 6: Final answer
    x = 11,305.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.